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f(x)=cos^2x+cos^2(pi/3 +x)-cosxcos(pi/3 ...

`f(x)=cos^2x+cos^2(pi/3 +x)-cosxcos(pi/3 +x)` is

A

an odd function

B

an even function

C

a periodic function

D

f(0)=f(1)

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The correct Answer is:
B, C, D
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PATHFINDER-FUNCTION-QUESTION BANK
  1. If f(x)=cos([pi^2|x)+cos([-pi^2|x), where [x] stands for the greatest ...

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  2. Domain of f(x)=sin^-1[2-4x^2] is ([.] denotes the greatest integer fun...

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  3. f(x)=cos^2x+cos^2(pi/3 +x)-cosxcos(pi/3 +x) is

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  4. If [x] denotes the greatest integer less than or equal to x, the extre...

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  5. Let y=f(x) is a parabola whose vertex is at (3/4,-1/4),the length of l...

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  6. Let y=f(x) is a parabola whose vertex is at (3/4,-1/4),the length of l...

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  7. Let y=f(x) is a parabola whose vertex is at (3/4,-1/4),the length of l...

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  8. Let x in R be any real number such that xlies between any two consecut...

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  9. Let x in R be any real number such that xlies between any two consecut...

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  10. If f(x)=cos[pi^2]x+cos[-pi^2]xthen the value of f(pi/4)+f(pi/2)is

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  11. Match List - I with List-II

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  12. Match List - I with List-II

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  13. The number of solutions of 2{x} - 1 = nx where n in (2,infty) and {.} ...

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  14. Let f(x) and g(x) be one-one onto functions where f : {a,b,c,d} rarr {...

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  15. A polynomial f(x0 satisfies the condition f(x).f(1/x)=f(x)+f(1/x) and ...

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  16. The number of solutions of sin(x/2) + 2 pi x = x^2 + pi^2 + 1 must be

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  17. Let f be a function from the set of positive integers to the set of re...

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  18. Let f be a function from the set of positive integers to the set of re...

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  19. A function f : R rarr R is defined as f(x) = (alpha x^2 + 6x - 8 )/(al...

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  20. Find the domain of the following function : f(x) = sqrt(sin^(-1)(log...

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